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3 years ago

-10x+5y=0 -4x-6y=54 find the solution of this system of equations

1 answer:

6 0

We have the first equation:
-10x + 5y = zero
we can divide all terms by 5 to get:
-2x + y = zero
This means that:
y = 2x .................> equation I

We now will look at the second equation:
<span>-4x-6y=54
</span>we will substitute with equation I in this equation to get:
<span>-4x-6(2x)=54
-4x - 12x = 54
-16x = 54
x = -3.375

Substitute with the value of x in equation I to get y as follows:
y = 2(3.375) = -6.75

Therefore, for the given system of equations:
x = -3.375
y = -6.75</span>

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A telephone poll asked people whether they like playing golf. 120 people said they like playing golf and 630 people said they do

Paladinen [302]

First we need to know how many people were asked - 120 + 630 = 750 people
Now we make fractions - 120/750 and 630/750
Divide the fractions - 120/750 = 0.16 and 630/750 = 0.84
Multiply the results by 100 so we can get the percentage - 0.16 x 100 = 16% and 0.84 x 100 = 84%

The percentage of people that like playing golf is 16%.

3 0

3 years ago

Read 2 more answers

The value of y varies directly as x and y is 9 when x is -3 what constant of variation k?

Lady bird [3.3K]

Y/x=k

when y=9, then x= -3
9/-3=-3
⇒ k= -3

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3 years ago

It has been reported that men are more likely than women to participate in online auctions. In a recent survey, 65% of responde

vivado [14]

Answer:

0.84 or 84%

Step-by-step explanation:

Let 'n' be number of people who took the survey, the number of men who answered the survey is 0.45n. The number of men who answered the survey and have participated in online auctions is 0.38n. Therefore, choosing from the population of men who took the survey (0.45n) the probability that a respondent had participated in an online auction is:

$P =\frac{0.38n}{0.45n}\\P=0.84$

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3 years ago

You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the

Otrada [13]

Answer:

Please check the explanation.

Step-by-step explanation:

a) How much will you have at the middle of the first year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 0.5 years

Total amount = A = ?

Using the formula

$A\:=\:P\left(1+\frac{r}{n}\right)^{nt}$

substituting the values

$A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}$

$A=300\cdot \frac{2.06}{2}$

$A=\frac{618}{2}$

$A=309$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

Total amount = A = ?

Using the formula

$A\:=\:P\left(1+\frac{r}{n}\right)^{nt}$

so substituting the values

$A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}$

$A=300\cdot \frac{2.06^2}{2^2}$

$A=318.27$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.

7 0

3 years ago

Please help me with my homework I don't understand it

Damm [24]

Answer:

Part A:

0.1111111111111 = 1/9

Part B:

Step-by-step explanation:

Part A:

When I put 0.111111111 into my calculator I get a conversion of 1/9.

Part B:

The fraction 1/9 means that for every 9 kids he surveyed, 1 of them replied "yes."

So covert 1/9 into x/27

27/9 = 3 which means 9 goes into 27, 3 times.

Multiply 1 by 3.

1 x 3 = 3

Put into fraction form

3/27

This means 3 students out of 27 answered "yes."

6 0

3 years ago